Branching laws for the metaplectic cover of GL2

Shiv Prakash Patel

doi:10.2140/pjm.2017.291.461

Branching laws for the metaplectic cover of GL₂

Shiv Prakash Patel

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Let F be a nonarchimedean local field of characteristic zero and E/F be a quadratic extension. The aim of this article is to study the multiplicity of an irreducible admissible representation of GL₂(F) occurring in an irreducible admissible genuine representation of the nontrivial two-fold covering GL ~₂(E) of GL₂(E).

Original language	English
Pages (from-to)	461-484
Number of pages	24
Journal	Pacific Journal of Mathematics
Volume	291
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2017.291.461
State	Published - 1 Jan 2017

Keywords

Branching laws
Metaplectic group

ASJC Scopus subject areas

Mathematics (all)

Access to Document

10.2140/pjm.2017.291.461

Cite this

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abstract = "Let F be a nonarchimedean local field of characteristic zero and E/F be a quadratic extension. The aim of this article is to study the multiplicity of an irreducible admissible representation of GL2(F) occurring in an irreducible admissible genuine representation of the nontrivial two-fold covering GL ~2(E) of GL2(E).",

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